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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2019 028, 15 pp. (Mi ipmp2666)

This article is cited in 1 paper

Convergence estimates of the iterative algorithm for numerical solution of two-dimensional nonstationary problems of Magnetohydrodynamics

A. Yu. Krukovskiy, Yu. A. Poveschenko, L. V. Klochkova, D. V. Suzan


Abstract: In this paper, we investigate the convergence of the applied to the completely conservative difference schemes (CCDS) of Magnetohydrodynamics (MHD) Method of the combined decisions of groups of difference equations broken down by physical processes (the Method of splitting into processes). The area of applicability of this method is shown. The validity of the estimates obtained is confirmed by numerical calculations.

Keywords: magnetic hydrodynamics, implicit completely conservative difference scheme, convergence of iterative process.

DOI: 10.20948/prepr-2019-28



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© Steklov Math. Inst. of RAS, 2024